413400414042 has 128 divisors (see below), whose sum is σ = 1147809761280. Its totient is φ = 107146298880.

The previous prime is 413400413977. The next prime is 413400414047. The reversal of 413400414042 is 240414004314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413400413997 and 413400414015.

It is not an unprimeable number, because it can be changed into a prime (413400414047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835338 + ... + 2048234.

It is an arithmetic number, because the mean of its divisors is an integer number (8967263760).

Almost surely, 2^413400414042 is an apocalyptic number.

413400414042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 413400414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573904880640).

413400414042 is an abundant number, since it is smaller than the sum of its proper divisors (734409347238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413400414042 is a wasteful number, since it uses less digits than its factorization.

413400414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213393 (or 213387 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 413400414042 its reverse (240414004314), we get a palindrome (653814418356).

The spelling of 413400414042 in words is "four hundred thirteen billion, four hundred million, four hundred fourteen thousand, forty-two".